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山东大学学报（理学版） ›› 2017, Vol. 52 ›› Issue (1): 74-80.doi: 10.6040/j.issn.1671-9352.0.2016.090

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具有测量噪声的时滞多智能体系统的一致性问题

王亚军1,2,张申1,胡青松1,刘峰2,张玉婷2   

  1. 1. 中国矿业大学物联网研究中心, 江苏 徐州 221008;2. 中国矿业大学理学院, 江苏 徐州 221008
  • 收稿日期:2016-03-07 出版日期:2017-01-20 发布日期:2017-01-16
  • 作者简介:王亚军(1978— ),男,博士研究生,研究方向为智能天线技术及随机数学研究.E-mail:411149996@139.com
  • 基金资助:
    国家科技支撑计划项目(2013BAK06B05);国家自然科学基金资助项目(51204177)

Consensus problem of time-delayed multi-agent system with measurement noise

WANG Ya-jun1,2, ZHANG Shen1, HU Qing-song1, LIU Feng2, ZHANG Yu-ting2   

  1. 1. Internet of Things(Sensor Mine)Research Center, China University of Mining &
    Technology, Xuzhou 221008, Jiangsu, China;
    2. School of Science, China University of Mining and Technology, Xuzhou 221008, Jiangsu, China
  • Received:2016-03-07 Online:2017-01-20 Published:2017-01-16

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摘要： 为研究噪声和时滞对多智能体系统平均一致性产生的影响,建立了具有测量噪声的时滞多智能体系统的模型,利用随机微分方程的稳定性理论,得到了多智能体系统以概率1实现平均一致性的充分条件。针对时滞和噪声对多智能体系统一致性行为的影响进行了仿真实验,验证了理论结果的正确性。

关键词: 噪声, 一致性, 时滞, 多智能体系统

Abstract: To study the influence of noise and time delay on the average consensus of multi-agent systems, the model of time delay multi agent system with measurement noise was established. Using the stability theory of stochastic differential equations, sufficient conditions for the almost surely average consensus were derived. The influence of time delay and noise on the consensus behavior of multi-agent system was simulated, and the correctness of the theoretical results was verified.

Key words: time-delay, multi-agent system, consensus, noise

中图分类号: 

  • TP13
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